Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cw |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-25840005258608640 = -1 · 216 · 33 · 5 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,73689,737865] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-3531:1] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
13.02302166386 |
L(r)(E,1)/r! |
Ω |
0.22773621017526 |
Real period |
R |
0.59567372075616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330c1 |
Quadratic twists by: 17 |